1000/A - 5 = (1000-50)/B ----------------1
(1000-30)/B -5 = 1000/A -----------------2
Solving these equation we get
B = 2 m/sec
A = 25/12 m/sec
Therefore the time taken by A = 1000/(25/12)
= 480 seconds.
If I have not done any calculation mistake then it should be. D.
(x + a) / (x - a) = (y + b) / (y - b)
or, xy+ay-bx-ba=xy-ay+bx-ab
or, ay=bx
x/y= a/b
x^2/y^2= 2/3
that means x^2+y^2 should be a factor of 5.
hence D.
Every 35 minutes they don't work together for 10 minutes. in 180 minutes 50 minutes they have not worked together and 130 minutes they have worked together.
Hence A is greater than B.
We can get any value between 3 and 18. Total no. of events is 16. Total no. of ways by which we can get more than 10 is 8 (11, 12, 13, 14, 15, 16, 17, 18). The probability of outscoring Mary is
8/16 = 1/2